Negative correlations can play a positive role in disordered quantum walks

Abstract

AbstractWe investigate the emerging properties of quantum walks with temporal disorder engineered from a binary Markov chain with tailored correlation, C, and disorder strength, r. We show that when the disorder is weak—$$r \ll 1$$ r ≪ 1 —the introduction of negative correlation leads to a counter-intuitive higher production of spin-lattice entanglement entropy, $$S_e$$ S e , than the setting with positive correlation, that is $$S_e(-|C|)>S_e(|C|)$$ S e ( - | C | ) > S e ( | C | ) . These results show that negatively correlated disorder plays a more important role in quantum entanglement than it has been assumed in the literature.